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Finding the Third Proportional to 8,563.97 and 18,680.16

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Solution

The third proportional to 8,563.97 and 18,680.16 is: 40,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.97 : 18,680.16 = 18,680.16 : x
  2. Step 2: Convert to fraction form
    8,563.97/18,680.16 = 18,680.16/x
  3. Step 3: Cross multiply
    8,563.97x = 18,680.16 × 18,680.16
  4. Step 4: Simplify right side
    8,563.97x = 348,948,237.52
  5. Step 5: Solve for x
    x = 348,948,237.52/8,563.97
  6. Step 6: Final answer
    x = 40,746.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.